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10211012002020 = 22354173313389467
BaseRepresentation
bin1001010010010110111110…
…1111100100000011100100
31100011011101222112121020110
42110211233233210003210
52314244123033031040
633414512452333020
72102502252642414
oct224455757440344
940134358477213
1010211012002020
113287514090335
12118ab67314170
13590b81a14c0b
14274303926644
1512a92a027980
hex9496fbe40e4

10211012002020 has 384 divisors, whose sum is σ = 29924740984320. Its totient is φ = 2599469383680.

The previous prime is 10211012001959. The next prime is 10211012002027. The reversal of 10211012002020 is 2020021011201.

10211012002020 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 2×102110120020202 (a number of 27 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 = 10211012001987 and 10211012002005.

It is not an unprimeable number, because it can be changed into a prime (10211012002027) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21865121827 + ... + 21865122293.

It is an arithmetic number, because the mean of its divisors is an integer number (77929012980).

Almost surely, 210211012002020 is an apocalyptic number.

10211012002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211012002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14962370492160).

10211012002020 is an abundant number, since it is smaller than the sum of its proper divisors (19713728982300).

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

10211012002020 is a wasteful number, since it uses less digits than its factorization.

10211012002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1293 counting only the distinct ones).

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

Adding to 10211012002020 its reverse (2020021011201), we get a palindrome (12231033013221).

The spelling of 10211012002020 in words is "ten trillion, two hundred eleven billion, twelve million, two thousand, twenty".