102010021211120 has 320 divisors, whose sum is σ = 270549563719680. Its totient is φ = 35432017920000.

The previous prime is 102010021211117. The next prime is 102010021211123. The reversal of 102010021211120 is 21112120010201.

It is an interprime number because it is at equal distance from previous prime (102010021211117) and next prime (102010021211123).

It is a super-2 number, since 2×102010021211120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102010021211095 and 102010021211104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010021211123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9139858340 + ... + 9139869500.

It is an arithmetic number, because the mean of its divisors is an integer number (845467386624).

Almost surely, 2^{102010021211120} is an apocalyptic number.

102010021211120 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 102010021211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135274781859840).

102010021211120 is an abundant number, since it is smaller than the sum of its proper divisors (168539542508560).

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

102010021211120 is a wasteful number, since it uses less digits than its factorization.

102010021211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15536 (or 15530 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102010021211120 its reverse (21112120010201), we get a palindrome (123122141221321).

The spelling of 102010021211120 in words is "one hundred two trillion, ten billion, twenty-one million, two hundred eleven thousand, one hundred twenty".