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1001122101020 = 225416067201233
BaseRepresentation
bin11101001000101111000…
…01101111011100011100
310112201001220212001201002
432210113201233130130
5112400244224213040
62043524213005432
7132220511311406
oct16442741573434
93481056761632
101001122101020
11356634366008
12142035923878
13735368b7042
1436651499b76
151b095015a15
hexe91786f71c

1001122101020 has 48 divisors (see below), whose sum is σ = 2153999076768. Its totient is φ = 390615459840.

The previous prime is 1001122101019. The next prime is 1001122101059. The reversal of 1001122101020 is 201012211001.

It is a super-2 number, since 2×10011221010202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001122100992 and 1001122101010.

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, 4874324 + ... + 5075556.

It is an arithmetic number, because the mean of its divisors is an integer number (44874980766).

Almost surely, 21001122101020 is an apocalyptic number.

1001122101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001122101020 is an abundant number, since it is smaller than the sum of its proper divisors (1152876975748).

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

1001122101020 is a wasteful number, since it uses less digits than its factorization.

1001122101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207350 (or 207348 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001122101020 its reverse (201012211001), we get a palindrome (1202134312021).

The spelling of 1001122101020 in words is "one trillion, one billion, one hundred twenty-two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 6067 12134 24268 30335 60670 121340 201233 248747 402466 497494 804932 994988 1006165 1243735 2012330 2487470 4024660 4974940 8250553 16501106 33002212 41252765 82505530 165011060 1220880611 2441761222 4883522444 6104403055 12208806110 24417612220 50056105051 100112210102 200224420204 250280525255 500561050510 1001122101020