101201012122100 has 144 divisors (see below), whose sum is σ = 246714859238400. Its totient is φ = 35718699120000.

The previous prime is 101201012122081. The next prime is 101201012122127. The reversal of 101201012122100 is 1221210102101.

It is a super-2 number, since 2×101201012122100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4742126 + ... + 14996325.

It is an arithmetic number, because the mean of its divisors is an integer number (1713297633600).

Almost surely, 2^{101201012122100} is an apocalyptic number.

101201012122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201012122100 is an abundant number, since it is smaller than the sum of its proper divisors (145513847116300).

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

101201012122100 is a wasteful number, since it uses less digits than its factorization.

101201012122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19738614 (or 19738607 counting only the distinct ones).

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

Adding to 101201012122100 its reverse (1221210102101), we get a palindrome (102422222224201).

The spelling of 101201012122100 in words is "one hundred one trillion, two hundred one billion, twelve million, one hundred twenty-two thousand, one hundred".