101202001101100 has 72 divisors (see below), whose sum is σ = 240544634783040. Its totient is φ = 36785798353920.

The previous prime is 101202001101073. The next prime is 101202001101109. The reversal of 101202001101100 is 1101100202101.

It is a super-2 number, since 2×101202001101100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101202001101109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1026340164 + ... + 1026438763.

It is an arithmetic number, because the mean of its divisors is an integer number (3340897705320).

Almost surely, 2^{101202001101100} is an apocalyptic number.

101202001101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202001101100 is an abundant number, since it is smaller than the sum of its proper divisors (139342633681940).

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

101202001101100 is a wasteful number, since it uses less digits than its factorization.

101202001101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052778987 (or 2052778980 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101202001101100 its reverse (1101100202101), we get a palindrome (102303101303201).

It can be divided in two parts, 101202001 and 101100, that added together give a palindrome (101303101).

The spelling of 101202001101100 in words is "one hundred one trillion, two hundred two billion, one million, one hundred one thousand, one hundred".