101021110100 has 36 divisors (see below), whose sum is σ = 219231780768. Its totient is φ = 40405500000.

The previous prime is 101021110067. The next prime is 101021110133. The reversal of 101021110100 is 1011120101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101021110067) and next prime (101021110133).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1797425 + ... + 1852775.

It is an arithmetic number, because the mean of its divisors is an integer number (6089771688).

Almost surely, 2^101021110100 is an apocalyptic number.

101021110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021110100 is an abundant number, since it is smaller than the sum of its proper divisors (118210670668).

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

101021110100 is a wasteful number, since it uses less digits than its factorization.

101021110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73616 (or 73609 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101021110100 its reverse (1011120101), we get a palindrome (102032230201).

The spelling of 101021110100 in words is "one hundred one billion, twenty-one million, one hundred ten thousand, one hundred".