101021122101100 has 36 divisors (see below), whose sum is σ = 219691357478208. Its totient is φ = 40320794920000.

The previous prime is 101021122101077. The next prime is 101021122101101. The reversal of 101021122101100 is 1101221120101.

It is a happy number.

It is a super-2 number, since 2×101021122101100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101021122101101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1095627676 + ... + 1095719875.

It is an arithmetic number, because the mean of its divisors is an integer number (6102537707728).

Almost surely, 2^{101021122101100} is an apocalyptic number.

101021122101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021122101100 is an abundant number, since it is smaller than the sum of its proper divisors (118670235377108).

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

101021122101100 is a wasteful number, since it uses less digits than its factorization.

101021122101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191348026 (or 2191348019 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101021122101100 its reverse (1101221120101), we get a palindrome (102122343221201).

The spelling of 101021122101100 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-two million, one hundred one thousand, one hundred".