101011010100 has 576 divisors, whose sum is σ = 403052869632. Its totient is φ = 18849024000.

The previous prime is 101011010077. The next prime is 101011010119. The reversal of 101011010100 is 1010110101.

It is a super-2 number, since 2×101011010100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11106555 + ... + 11115645.

Almost surely, 2^101011010100 is an apocalyptic number.

101011010100 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 101011010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201526434816).

101011010100 is an abundant number, since it is smaller than the sum of its proper divisors (302041859532).

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

101011010100 is a wasteful number, since it uses less digits than its factorization.

101011010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9176 (or 9169 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101011010100 its reverse (1010110101), we get a palindrome (102021120201).

101011010100 divided by its reverse (1010110101) gives a square (100 = 10²).

It can be divided in two parts, 10101 and 1010100, that multiplied together give a square (10203020100 = 101010²).

The spelling of 101011010100 in words is "one hundred one billion, eleven million, ten thousand, one hundred".