101242200400 has 180 divisors, whose sum is σ = 278984081376. Its totient is φ = 35214291200.

The previous prime is 101242200379. The next prime is 101242200421. The reversal of 101242200400 is 4002242101.

It is an interprime number because it is at equal distance from previous prime (101242200379) and next prime (101242200421).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1067727 + ... + 1158673.

Almost surely, 2^101242200400 is an apocalyptic number.

101242200400 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 101242200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139492040688).

101242200400 is an abundant number, since it is smaller than the sum of its proper divisors (177741880976).

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

101242200400 is a wasteful number, since it uses less digits than its factorization.

101242200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91010 (or 90988 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 101242200400 its reverse (4002242101), we get a palindrome (105244442501).

The spelling of 101242200400 in words is "one hundred one billion, two hundred forty-two million, two hundred thousand, four hundred".