101020111002100 has 18 divisors (see below), whose sum is σ = 219213640874774. Its totient is φ = 40408044400800.

The previous prime is 101020111002089. The next prime is 101020111002103. The reversal of 101020111002100 is 1200111020101.

It can be written as a sum of positive squares in 3 ways, for example, as 765789508836 + 100254321493264 = 875094^2 + 10012708^2 .

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 (101020111002103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505100554911 + ... + 505100555110.

Almost surely, 2^{101020111002100} is an apocalyptic number.

101020111002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020111002100 is an abundant number, since it is smaller than the sum of its proper divisors (118193529872674).

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

101020111002100 is a wasteful number, since it uses less digits than its factorization.

101020111002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010201110035 (or 1010201110028 counting only the distinct ones).

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

Adding to 101020111002100 its reverse (1200111020101), we get a palindrome (102220222022201).

The spelling of 101020111002100 in words is "one hundred one trillion, twenty billion, one hundred eleven million, two thousand, one hundred".