101220212021000 has 32 divisors (see below), whose sum is σ = 236855296131480. Its totient is φ = 40488084808000.

The previous prime is 101220212020903. The next prime is 101220212021069. The reversal of 101220212021000 is 120212022101.

It can be written as a sum of positive squares in 4 ways, for example, as 11103276936964 + 90116935084036 = 3332158^2 + 9492994^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50610105011 + ... + 50610107010.

Almost surely, 2^{101220212021000} is an apocalyptic number.

101220212021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220212021000 is an abundant number, since it is smaller than the sum of its proper divisors (135635084110480).

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

101220212021000 is a wasteful number, since it uses less digits than its factorization.

101220212021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101220212042 (or 101220212028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101220212021000 its reverse (120212022101), we get a palindrome (101340424043101).

The spelling of 101220212021000 in words is "one hundred one trillion, two hundred twenty billion, two hundred twelve million, twenty-one thousand".