101021102110100 has 36 divisors (see below), whose sum is σ = 219363015402300. Its totient is φ = 40381302812160.

The previous prime is 101021102110001. The next prime is 101021102110153. The reversal of 101021102110100 is 1011201120101.

It can be written as a sum of positive squares in 6 ways, for example, as 27868558948624 + 73152543161476 = 5279068^2 + 8552926^2 .

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, 339075755 + ... + 339373554.

Almost surely, 2^{101021102110100} is an apocalyptic number.

101021102110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021102110100 is an abundant number, since it is smaller than the sum of its proper divisors (118341913292200).

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

101021102110100 is a wasteful number, since it uses less digits than its factorization.

101021102110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678450812 (or 678450805 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101021102110100 its reverse (1011201120101), we get a palindrome (102032303230201).

The spelling of 101021102110100 in words is "one hundred one trillion, twenty-one billion, one hundred two million, one hundred ten thousand, one hundred".