101011220100 has 180 divisors, whose sum is σ = 374215604224. Its totient is φ = 23088265920.

The previous prime is 101011220087. The next prime is 101011220137. The reversal of 101011220100 is 1022110101.

It is a happy number.

101011220100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 834052 + ... + 947451.

Almost surely, 2^101011220100 is an apocalyptic number.

101011220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011220100 is an abundant number, since it is smaller than the sum of its proper divisors (273204384124).

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

101011220100 is a wasteful number, since it uses less digits than its factorization.

101011220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781536 (or 1781520 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101011220100 its reverse (1022110101), we get a palindrome (102033330201).

The spelling of 101011220100 in words is "one hundred one billion, eleven million, two hundred twenty thousand, one hundred".