102010020001120 has 576 divisors, whose sum is σ = 314637776212032. Its totient is φ = 30886453248000.

The previous prime is 102010020001069. The next prime is 102010020001121. The reversal of 102010020001120 is 21100020010201.

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 = 102010020001097 and 102010020001106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010020001121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 823788810 + ... + 823912630.

It is an arithmetic number, because the mean of its divisors is an integer number (546246139257).

Almost surely, 2^{102010020001120} is an apocalyptic number.

102010020001120 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 102010020001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157318888106016).

102010020001120 is an abundant number, since it is smaller than the sum of its proper divisors (212627756210912).

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

102010020001120 is a wasteful number, since it uses less digits than its factorization.

102010020001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124135 (or 124120 counting only the distinct ones).

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

Adding to 102010020001120 its reverse (21100020010201), we get a palindrome (123110040011321).

The spelling of 102010020001120 in words is "one hundred two trillion, ten billion, twenty million, one thousand, one hundred twenty".