101022201001100 has 18 divisors (see below), whose sum is σ = 219218176172604. Its totient is φ = 40408880400400.

The previous prime is 101022201001087. The next prime is 101022201001103. The reversal of 101022201001100 is 1100102220101.

It is not an unprimeable number, because it can be changed into a prime (101022201001103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505111004906 + ... + 505111005105.

Almost surely, 2^{101022201001100} is an apocalyptic number.

101022201001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022201001100 is an abundant number, since it is smaller than the sum of its proper divisors (118195975171504).

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

101022201001100 is a wasteful number, since it uses less digits than its factorization.

101022201001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010222010025 (or 1010222010018 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101022201001100 its reverse (1100102220101), we get a palindrome (102122303221201).

The spelling of 101022201001100 in words is "one hundred one trillion, twenty-two billion, two hundred one million, one thousand, one hundred".