102101221021000 has 64 divisors (see below), whose sum is σ = 239767095774960. Its totient is φ = 40695148480000.

The previous prime is 102101221020977. The next prime is 102101221021013. The reversal of 102101221021000 is 120122101201.

It can be written as a sum of positive squares in 8 ways, for example, as 21780945004036 + 80320276016964 = 4667006^2 + 8962158^2 .

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, 181393771 + ... + 181955770.

Almost surely, 2^{102101221021000} is an apocalyptic number.

102101221021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101221021000 is an abundant number, since it is smaller than the sum of its proper divisors (137665874753960).

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

102101221021000 is a wasteful number, since it uses less digits than its factorization.

102101221021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363349843 (or 363349829 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102101221021000 its reverse (120122101201), we get a palindrome (102221343122201).

The spelling of 102101221021000 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-one million, twenty-one thousand".