102010101121000 has 32 divisors (see below), whose sum is σ = 238703636625480. Its totient is φ = 40804040448000.

The previous prime is 102010101120931. The next prime is 102010101121003. The reversal of 102010101121000 is 121101010201.

It can be written as a sum of positive squares in 4 ways, for example, as 5637044068516 + 96373057052484 = 2374246^2 + 9816978^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102010101121003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51005049561 + ... + 51005051560.

Almost surely, 2^{102010101121000} is an apocalyptic number.

102010101121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010101121000 is an abundant number, since it is smaller than the sum of its proper divisors (136693535504480).

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

102010101121000 is a wasteful number, since it uses less digits than its factorization.

102010101121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102010101142 (or 102010101128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102010101121000 its reverse (121101010201), we get a palindrome (102131202131201).

The spelling of 102010101121000 in words is "one hundred two trillion, ten billion, one hundred one million, one hundred twenty-one thousand".