101020010202100 has 288 divisors, whose sum is σ = 260608110013440. Its totient is φ = 33577953024000.

The previous prime is 101020010202091. The next prime is 101020010202103. The reversal of 101020010202100 is 1202010020101.

It is a super-2 number, since 2×101020010202100² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020010202103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88388091 + ... + 89523709.

It is an arithmetic number, because the mean of its divisors is an integer number (904889270880).

Almost surely, 2^{101020010202100} is an apocalyptic number.

101020010202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101020010202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130304055006720).

101020010202100 is an abundant number, since it is smaller than the sum of its proper divisors (159588099811340).

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

101020010202100 is a wasteful number, since it uses less digits than its factorization.

101020010202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135799 (or 1135792 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101020010202100 its reverse (1202010020101), we get a palindrome (102222020222201).

The spelling of 101020010202100 in words is "one hundred one trillion, twenty billion, ten million, two hundred two thousand, one hundred".