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121010100020020 = 22553286139902297
BaseRepresentation
bin11011100000111011011100…
…000001101010001100110100
3120212110110012221011122020001
4123200323130001222030310
5111330112141101120040
61105211134505521044
734326456041532541
oct3340733401521464
9525413187148201
10121010100020020
1135615105809692
12116a46997a3184
13526a285032603
1421c4cc4a33bc8
15decb3c93559a
hex6e0edc06a334

121010100020020 has 48 divisors (see below), whose sum is σ = 259006454754768. Its totient is φ = 47474155688960.

The previous prime is 121010100019973. The next prime is 121010100020063. The reversal of 121010100020020 is 20020001010121.

It can be written as a sum of positive squares in 8 ways, for example, as 1161993449764 + 119848106570256 = 1077958^2 + 10947516^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 121010100019979 and 121010100020006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16918489 + ... + 22983808.

It is an arithmetic number, because the mean of its divisors is an integer number (5395967807391).

Almost surely, 2121010100020020 is an apocalyptic number.

121010100020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121010100020020 is an abundant number, since it is smaller than the sum of its proper divisors (137996354734748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121010100020020 is a wasteful number, since it uses less digits than its factorization.

121010100020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39905220 (or 39905218 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121010100020020 its reverse (20020001010121), we get a palindrome (141030101030141).

The spelling of 121010100020020 in words is "one hundred twenty-one trillion, ten billion, one hundred million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 2861 5722 11444 14305 28610 57220 151633 303266 606532 758165 1516330 3032660 39902297 79804594 159609188 199511485 399022970 798045940 2114821741 4229643482 8459286964 10574108705 21148217410 42296434820 114160471717 228320943434 456641886868 570802358585 1141604717170 2283209434340 6050505001001 12101010002002 24202020004004 30252525005005 60505050010010 121010100020020