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1020101221020 = 223572428812431
BaseRepresentation
bin11101101100000101100…
…01010101101010011100
310121112001121102020212110
432312002301111222130
5113203131403033040
62100343353234020
7133462026211650
oct16660261255234
93545047366773
101020101221020
113636935aa852
12145851a02910
137526c92396b
1437531d5aa60
151b806328980
hexed82c55a9c

1020101221020 has 48 divisors (see below), whose sum is σ = 3264323908608. Its totient is φ = 233165993280.

The previous prime is 1020101221019. The next prime is 1020101221049. The reversal of 1020101221020 is 201221010201.

1020101221020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10201012210202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1020101220987 and 1020101221005.

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, 1214405796 + ... + 1214406635.

It is an arithmetic number, because the mean of its divisors is an integer number (68006748096).

Almost surely, 21020101221020 is an apocalyptic number.

1020101221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020101221020 is an abundant number, since it is smaller than the sum of its proper divisors (2244222687588).

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

1020101221020 is a wasteful number, since it uses less digits than its factorization.

1020101221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428812450 (or 2428812448 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020101221020 its reverse (201221010201), we get a palindrome (1221322231221).

The spelling of 1020101221020 in words is "one trillion, twenty billion, one hundred one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 2428812431 4857624862 7286437293 9715249724 12144062155 14572874586 17001687017 24288124310 29145749172 34003374034 36432186465 48576248620 51005061051 68006748068 72864372930 85008435085 102010122102 145728745860 170016870170 204020244204 255025305255 340033740340 510050610510 1020101221020