101030210000400 has 60 divisors (see below), whose sum is σ = 323633439371792. Its totient is φ = 26941389333120.

The previous prime is 101030210000387. The next prime is 101030210000407. The reversal of 101030210000400 is 4000012030101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (101030210000407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42095919634 + ... + 42095922033.

Almost surely, 2^{101030210000400} is an apocalyptic number.

101030210000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101030210000400 is an abundant number, since it is smaller than the sum of its proper divisors (222603229371392).

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

101030210000400 is a wasteful number, since it uses less digits than its factorization.

101030210000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84191841688 (or 84191841677 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101030210000400 its reverse (4000012030101), we get a palindrome (105030222030501).

The spelling of 101030210000400 in words is "one hundred one trillion, thirty billion, two hundred ten million, four hundred", and thus it is an aban number.