101020102010100 has 1458 divisors, whose sum is σ = 409964310679014. Its totient is φ = 20735979264000.

The previous prime is 101020102010099. The next prime is 101020102010131. The reversal of 101020102010100 is 1010201020101.

It is a happy number.

101020102010100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 27 ways, for example, as 68121021574116 + 32899080435984 = 8253546^2 + 5735772^2 .

It is a super-2 number, since 2×101020102010100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 485 ways as a sum of consecutive naturals, for example, 10203015150 + ... + 10203025050.

Almost surely, 2^{101020102010100} is an apocalyptic number.

101020102010100 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 101020102010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204982155339507).

101020102010100 is an abundant number, since it is smaller than the sum of its proper divisors (308944208668914).

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

101020102010100 is a wasteful number, since it uses less digits than its factorization.

101020102010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10035 (or 9968 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101020102010100 its reverse (1010201020101), we get a palindrome (102030303030201).

101020102010100 divided by its reverse (1010201020101) gives a square (100 = 10²).

The spelling of 101020102010100 in words is "one hundred one trillion, twenty billion, one hundred two million, ten thousand, one hundred".