101021102101000 has 64 divisors (see below), whose sum is σ = 240264614781360. Its totient is φ = 39746007360000.

The previous prime is 101021102100959. The next prime is 101021102101091. The reversal of 101021102101000 is 101201120101.

It can be written as a sum of positive squares in 8 ways, for example, as 1241740263556 + 99779361837444 = 1114334^2 + 9988962^2 .

It is a super-2 number, since 2×101021102101000² (a number of 29 digits) contains 22 as substring.

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

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, 827980821 + ... + 828102820.

Almost surely, 2^{101021102101000} is an apocalyptic number.

101021102101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021102101000 is an abundant number, since it is smaller than the sum of its proper divisors (139243512680360).

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

101021102101000 is a wasteful number, since it uses less digits than its factorization.

101021102101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656083723 (or 1656083709 counting only the distinct ones).

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

Adding to 101021102101000 its reverse (101201120101), we get a palindrome (101122303221101).

The spelling of 101021102101000 in words is "one hundred one trillion, twenty-one billion, one hundred two million, one hundred one thousand".