101401400100 has 432 divisors, whose sum is σ = 396916790144. Its totient is φ = 19448985600.

The previous prime is 101401400083. The next prime is 101401400147. The reversal of 101401400100 is 1004104101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3287952 + ... + 3318648.

Almost surely, 2^101401400100 is an apocalyptic number.

101401400100 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 101401400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198458395072).

101401400100 is an abundant number, since it is smaller than the sum of its proper divisors (295515390044).

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

101401400100 is a wasteful number, since it uses less digits than its factorization.

101401400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30756 (or 30738 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101401400100 its reverse (1004104101), we get a palindrome (102405504201).

It can be divided in two parts, 101401 and 400100, that added together give a triangular number (501501 = T₁₀₀₁).

The spelling of 101401400100 in words is "one hundred one billion, four hundred one million, four hundred thousand, one hundred".