101021001111100 has 54 divisors (see below), whose sum is σ = 255005869959960. Its totient is φ = 34635771807840.

The previous prime is 101021001111091. The next prime is 101021001111109. The reversal of 101021001111100 is 1111100120101.

It is an interprime number because it is at equal distance from previous prime (101021001111091) and next prime (101021001111109).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021001111109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10308260520 + ... + 10308270319.

Almost surely, 2^{101021001111100} is an apocalyptic number.

101021001111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021001111100 is an abundant number, since it is smaller than the sum of its proper divisors (153984868848860).

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

101021001111100 is a wasteful number, since it uses less digits than its factorization.

101021001111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20616530867 (or 20616530853 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101021001111100 its reverse (1111100120101), we get a palindrome (102132101231201).

Subtracting from 101021001111100 its reverse (1111100120101), we obtain a palindrome (99909900990999).

The spelling of 101021001111100 in words is "one hundred one trillion, twenty-one billion, one million, one hundred eleven thousand, one hundred".