101221012120100 has 18 divisors (see below), whose sum is σ = 219649596300834. Its totient is φ = 40488404848000.

The previous prime is 101221012120087. The next prime is 101221012120139. The reversal of 101221012120100 is 1021210122101.

It can be written as a sum of positive squares in 3 ways, for example, as 4280289280996 + 96940722839104 = 2068886^2 + 9845848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506105060501 + ... + 506105060700.

Almost surely, 2^{101221012120100} is an apocalyptic number.

101221012120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221012120100 is an abundant number, since it is smaller than the sum of its proper divisors (118428584180734).

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

101221012120100 is a wasteful number, since it uses less digits than its factorization.

101221012120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012210121215 (or 1012210121208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101221012120100 its reverse (1021210122101), we get a palindrome (102242222242201).

The spelling of 101221012120100 in words is "one hundred one trillion, two hundred twenty-one billion, twelve million, one hundred twenty thousand, one hundred".