101155134400 has 84 divisors (see below), whose sum is σ = 254975868000. Its totient is φ = 39475148800.

The previous prime is 101155134361. The next prime is 101155134419. The reversal of 101155134400 is 4431551101.

It is a super-2 number, since 2×101155134400² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 705400 + ... + 836599.

It is an arithmetic number, because the mean of its divisors is an integer number (3035427000).

Almost surely, 2^101155134400 is an apocalyptic number.

101155134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101155134400 is an abundant number, since it is smaller than the sum of its proper divisors (153820733600).

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

101155134400 is a wasteful number, since it uses less digits than its factorization.

101155134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542062 (or 1542047 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 101155134400 its reverse (4431551101), we get a palindrome (105586685501).

The spelling of 101155134400 in words is "one hundred one billion, one hundred fifty-five million, one hundred thirty-four thousand, four hundred".