101024101400 has 192 divisors, whose sum is σ = 254030035680. Its totient is φ = 37225267200.

The previous prime is 101024101379. The next prime is 101024101421. The reversal of 101024101400 is 4101420101.

It is an interprime number because it is at equal distance from previous prime (101024101379) and next prime (101024101421).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34001915 + ... + 34004885.

Almost surely, 2^101024101400 is an apocalyptic number.

101024101400 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 101024101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127015017840).

101024101400 is an abundant number, since it is smaller than the sum of its proper divisors (153005934280).

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

101024101400 is a wasteful number, since it uses less digits than its factorization.

101024101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101024101400 its reverse (4101420101), we get a palindrome (105125521501).

The spelling of 101024101400 in words is "one hundred one billion, twenty-four million, one hundred one thousand, four hundred".