100214511042400 has 144 divisors (see below), whose sum is σ = 263004176655360. Its totient is φ = 37168024435200.

The previous prime is 100214511042397. The next prime is 100214511042407. The reversal of 100214511042400 is 4240115412001.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100214511042407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69424536 + ... + 70853335.

It is an arithmetic number, because the mean of its divisors is an integer number (1826417893440).

Almost surely, 2^{100214511042400} is an apocalyptic number.

100214511042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100214511042400 is an abundant number, since it is smaller than the sum of its proper divisors (162789665612960).

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

100214511042400 is a wasteful number, since it uses less digits than its factorization.

100214511042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140277957 (or 140277944 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 100214511042400 its reverse (4240115412001), we get a palindrome (104454626454401).

The spelling of 100214511042400 in words is "one hundred trillion, two hundred fourteen billion, five hundred eleven million, forty-two thousand, four hundred".