101021222012100 has 144 divisors (see below), whose sum is σ = 320106882056640. Its totient is φ = 24445291737600.

The previous prime is 101021222012099. The next prime is 101021222012107. The reversal of 101021222012100 is 1210222120101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101021222012100.

It is not an unprimeable number, because it can be changed into a prime (101021222012107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219285811 + ... + 219746010.

Almost surely, 2^{101021222012100} is an apocalyptic number.

101021222012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021222012100 is an abundant number, since it is smaller than the sum of its proper divisors (219085660044540).

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

101021222012100 is a wasteful number, since it uses less digits than its factorization.

101021222012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439031910 (or 439031903 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101021222012100 its reverse (1210222120101), we get a palindrome (102231444132201).

The spelling of 101021222012100 in words is "one hundred one trillion, twenty-one billion, two hundred twenty-two million, twelve thousand, one hundred".